geometry

In thea diagram,ABCD is a trapezium with AB,DC and vertices A(-4;1),B(x;-3),C(1;y) and D.Determine the value of x if the distance AB is 5 units.

  1. 👍 0
  2. 👎 0
  3. 👁 45
  1. A(-4,1), B(x,-3).
    (AB)^2 = (x-(-4))^2 + (-3-1)^2 = 5^2,
    (x+4)^2 + 16 = 25 - 16 = 9 ,
    Take sqrt of both sides:
    x+4 = +- 3,
    x = -4 +-3,
    x = -1, and x = -7.

    1. 👍 0
    2. 👎 0
    posted by Henry

Respond to this Question

First Name

Your Response

Similar Questions

  1. Maths

    In trapezium ABCD,AB=14cm,AD=10cm,DC=xcm &distance between AB &DC is 8cm. find the value of x & area of the trapezium ABCD

    asked by Prince on January 10, 2018
  2. Maths

    ABCD is a trapezium in which AB//DC and AB=70cm DC=50cm. If P and Q are respectively mid points of AD and BC. Find PQ and show that ar(trapezium DCQP)=9/11ar(trapezium ABQP)

    asked by Riya on January 6, 2017
  3. pragati

    in the given figure ABCD is a trapezium in which AD parallel to BC. Angle ABC= 90degree. AD=16cm, AC=41cm and BC=40cm.find the area of the trapezium.

    asked by harsh on March 14, 2014
  4. maths

    Let ABCD be a square with side legnth 7cm. Another square KLMN is inscribed into ABCD such that its vertices lie on the sides of ABCD. Find the lenghts of parts of ABCD sides which are divided by the vertices of KLMN. If [the area

    asked by Candice on June 9, 2009
  5. Math

    Determine whether the polygons are similar. ABCD with vertices A(–5, 4), B(–2, 4), C(–2, 2), D(–5, 2) and EFGH with vertices E(–2, 0), F(4, 0), G(4, –6), H(–2, –6)

    asked by Anonymous on February 2, 2015
  6. Geometry

    Determine whether the polygons with the given vertices are similar. Quadrilateral ABCD with vertices A(–3, 3), B(0, 3), C(0, 1), D(–3, 1) and quadrilateral EFGH with vertices E(2, –8), F(8, –8), G(8, –12), H(2, –12)

    asked by Anonymous on May 14, 2014
  7. math

    A trapezium ABCD is such that AB//CD and the perpendicular from A to CD is 40cm.if AB=20cm,DA=50cm and CD=60cm.calculate the (i)area of the trapezium (ii)

    asked by james007 on July 15, 2015
  8. Mount Carmel

    In a trapezium ABCD , angleA :angleD = 3:2 and angle B : angle C = 4:5 . Find all angles of trapezium .

    asked by Yashvi on September 10, 2015
  9. MATH, GEOMETRY

    abcd is trapezium bc is 17 ab is 16 dc is 8 find area of abcd

    asked by JAI on March 8, 2016
  10. Math - Answer Check

    Determine whether the polygons are similar. ABCD with vertices A(–5, 4), B(–2, 4), C(–2, 2), D(–5, 2) and EFGH with vertices E(–2, 0), F(4, 0), G(4, –6), H(–2, –6) They aren't similar, right?

    asked by Anonymous on February 3, 2015

More Similar Questions